Examples of using Vector field in English and their translations into Romanian
{-}
-
Colloquial
-
Official
-
Medicine
-
Ecclesiastic
-
Ecclesiastic
-
Computer
-
Programming
This is a vector field.
Course 3. The tangent bundle of a manifold. Tangent vector fields.
This is a vector field in 2-dimensional space.
That would be a vector field.
So let's say that I have a vector field f, and we're going to think about what this means in a second.
And that's why it's called a vector field.
I never said that the vector fields were rational functions.
The function to be integrated may be a scalar field or a vector field.
So when the particle is right here, maybe the vector field acting on it, maybe it's putting a force like that.
Curl of the curl===:formula_41Here,∇2 is the vector Laplacian operating on the vector field A.
It can draw using lines, points, boxes,contours, vector fields, surfaces, and various associated text.
This is called a vector field, so it probably makes a lot of sense that this could be used to describe any type of field. .
And remember what our vector field was.
So that's the vector field in that area, or the force directed on that particle right when it's at that point.
This is a(dualized)(1+ 1)-dimensional case, for a 1-form(dualized because it is a statement about vector fields).
Normal finite smooth forms of local families of vector fields in a neighborhood of an invariant variety have been described.
The tangent bundle of the circle S1 is globallyisomorphic to S1× R, since there is a global nonzero vector field on S1.
And then when it's here,maybe the vector field is like that, but it moves in that direction, because it's on some type of tracks.
Kelvin- Stokes theorem===This is a(dualized) 1+1 dimensional case,for a 1-form(dualized because it is a statement about vector fields).
Is a special case if we identify a vector field with the n- 1 form obtained by contracting the vector field with the Euclidean volume form.
I have a differential, it's a differential vector, infinitely small displacement. andlet's say over the course of that, the vector field is acting in this local area, let's say it looks something like that.
The gravitational field is a vector field that describes the gravitational force which would be applied on an object in any given point in space, per unit mass.
(A pattern may be specified formally as a scalar field, a function of position with values in a set of colors or substances; as a vector field; or as a more general function on the object.).
Two of the four Maxwell equations involve curls of 3-D vector fields and their differential and integral forms are related by the Kelvin-Stokes theorem.
Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.
Likewise the Ostrogradsky-Gauss theorem( also known as the Divergence theorem or Gausss theorem):is a special case if we identify a vector field with the n- 1 form obtained by contracting the vector field with the Euclidean volume form.
However, a constant one-dimensional vector field has this symmetry group. the group generated by all translations and reflections in points; they are isomorphic with the generalized dihedral group Dih(R).
The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve( commonly arc length or, for a vector field, the scalar product of the vector field with a differential vector in the curve).
There is no geometric figure that has as full symmetry group the circle group, but for a vector field it may apply(see the three-dimensional case below). the orthogonal group O(2) consisting of all rotations about a fixed point and reflections in any axis through that fixed point.
If you swim in a river,the force that the water exerts on you will depend on which direction you swim in. That would be a vector field. If, in contrast, you are in a swimming pool, the force that the water exerts on you will be the same whichever direction you swim in. That's a scalar field.”.